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Modeling of Wire Electrical Discharge Machining ... - IJETAE

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International Journal <strong>of</strong> Emerging Technology and Advanced Engineering<br />

Website: www.ijetae.com (ISSN 2250-2459, Volume 2, Issue 4, April 2012)<br />

It is evident from figure (3a) that the surface roughness<br />

decreases with increase in dielectric pressure, whereas<br />

figure (3b) reveals that the surface roughness increases<br />

with increase in pulse on time. Figure (3c) gives the<br />

variation <strong>of</strong> surface roughness with voltage corresponding<br />

to minimum and maximum values <strong>of</strong> pulse on time. It can<br />

be noticed from the figure that corresponding to minimum<br />

value <strong>of</strong> pulse on time the surface roughness decreases with<br />

increase in voltage, whereas the surface roughness<br />

increases with increase in voltage corresponding to<br />

maximum value <strong>of</strong> pulse on time.<br />

When the pulse on time is maximum and the voltage<br />

increase from 25 v to 30 v, the surface roughness also<br />

increases. To achieve minimum surface roughness (Ra), the<br />

pulse on time, voltage and dielectric pressure should be set<br />

at 20 µs, 30 V and 15 kgf/cm 2 respectively. The effect <strong>of</strong><br />

these factors on surface roughness is evident from the ‗3 D<br />

interaction graph‘ depicted in fig. (4). A contour plot <strong>of</strong><br />

surface roughness connecting pulse on time and voltage is<br />

given in fig. (5). On the basis <strong>of</strong> the experimental<br />

investigations, an empirical relationship for surface<br />

roughness connecting voltage, dielectric pressure and pulse<br />

on time is established, which is given below<br />

FIGURE.4 SURFACE PLOT FOR SURFACE ROUGHNESS.<br />

FIGURE.5 CONTOUR PLOT FOR SURFACE ROUGHNESS.<br />

380<br />

Ra = - 21.54350 + (0.79120 X Voltage) + (2.71630 X<br />

dielectric pressure) + (1.27310 X pulse on time) -<br />

(0.094980 X Voltage X dielectric pressure) – (0.039800 X<br />

Voltage X pulse on time) -(0.13526 X dielectric pressure<br />

X pulse on time) + (4.68400E-003 X Voltage X dielectric<br />

pressure X pulse on time)<br />

VI. COMPARISON OF CONFORMATION TEST<br />

RESULTS WITH PREDICTED VALUES.<br />

Two conformation runs were conducted in order to<br />

measure the reliability <strong>of</strong> optimization solutions obtained<br />

from the analysis.The comparison <strong>of</strong> test results between<br />

the therotical prediction and conformation test results were<br />

the final consideration that will determine whether the<br />

optimum parameters predicted are within the allowable<br />

range. The margin <strong>of</strong> error from prediction and<br />

experimental results was obtained below 7%. Table 3<br />

shows the comparison <strong>of</strong> the test results with the predicted<br />

values.<br />

TABLE IIIIV<br />

COMPARISON OF THE TEST RESULTS WITH THE THEROTICAL<br />

PREDICTION.<br />

No. <strong>of</strong><br />

conformation<br />

Runs<br />

Predicted<br />

values using<br />

the<br />

mathematical<br />

model<br />

Conformation<br />

test results<br />

% <strong>of</strong><br />

Error<br />

1 3.77109 3.821 1.32<br />

2 3.63406 3.388 6.76<br />

VII. CONCLUSION<br />

In this study, the machining <strong>of</strong> Ti-6Al-4V alloy‘s<br />

performance in wire electrical discharge machining is<br />

explored by using two level full factorial experiment.<br />

Design expert was adopted in this study to determine the<br />

optimum condition <strong>of</strong> machining parameters and the<br />

significance <strong>of</strong> each parameter on the performance <strong>of</strong><br />

machining charectristics.

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